What is the derivative of 1+sqrt(7x) ?

The derivative of 1+sqrt(7x) is (sqrt(7))/(2sqrt(x))

What is the first derivative of 1+sqrt(7x) ?

The first derivative of 1+sqrt(7x) is (sqrt(7))/(2sqrt(x))

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\frac{d}{d x} (1 + 7 x)

\frac{7}{2 x}

Solution steps

\frac{d}{d x} (1 + 7 x)

Simplify

1 + 7 x : 1 + 7 x

= \frac{d}{d x} (1 + 7 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) + \frac{d}{d x} (7 x)

\frac{d}{d x} (1) = 0

\frac{d}{d x} (7 x) = \frac{7}{2 x}

= 0 + \frac{7}{2 x}

Simplify

= \frac{7}{2 x}

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x \to 0 lim (\frac{cos ( 4 x )}{x})

What is the derivative of 1+sqrt(7x) ?
The derivative of 1+sqrt(7x) is (sqrt(7))/(2sqrt(x))
What is the first derivative of 1+sqrt(7x) ?
The first derivative of 1+sqrt(7x) is (sqrt(7))/(2sqrt(x))